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Finding the Third Proportional to 66,512 and 136,131

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Solution

The third proportional to 66,512 and 136,131 is: 278,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,512 : 136,131 = 136,131 : x
  2. Step 2: Convert to fraction form
    66,512/136,131 = 136,131/x
  3. Step 3: Cross multiply
    66,512x = 136,131 × 136,131
  4. Step 4: Simplify right side
    66,512x = 18,531,649,161
  5. Step 5: Solve for x
    x = 18,531,649,161/66,512
  6. Step 6: Final answer
    x = 278,621.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.